Which table represents a function that does not have a constant rate of change ?

Mathematics

2 answers:

Stella [2.4K]2 years ago

5 0

I believe D all the other answers increase at a steady rate so d would be your only reasonable choice

EleoNora [17]2 years ago

4 0

Answer:

I believe D.

Step-by-step explanation:

All the other tables increase at a stady rate but D doesn't.

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Given a polynomial f(x), if (x − 4) is a factor, what else must be true?

ollegr [7]

Answer:

$f(4)=0$

Step-by-step explanation:

The Remainder Theorem states that when you divide a polynomial $f(x)$ by a linear factor $(x-a)$ , where $a$ is a constant, the remainder is $f(x)$ evaluated at $x=a$

Moreover, according to the Factor Theorem, an extension of the Remainder Theorem, if the remainder of the function $f(x)$ is 0 when evaluated at $x=a$ , then $(x-a)$ is said to be a factor of the polynomial $f(x)$

Given the 2 theorems above, it follows that if $(x-4)$ is a factor of $f(x)$ , then the remainder is equal to 0 when $f(x)$ is evaluated at $x=4$

Which means $f(4)=0$

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